25342533524352 has 128 divisors (see below), whose sum is σ = 75420501033600. Its totient is φ = 7472000010240.

The previous prime is 25342533524333. The next prime is 25342533524359.

25342533524352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25342533524359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80920102 + ... + 81232677.

It is an arithmetic number, because the mean of its divisors is an integer number (589222664325).

Almost surely, 2^{25342533524352} is an apocalyptic number.

25342533524352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25342533524352 is an abundant number, since it is smaller than the sum of its proper divisors (50077967509248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25342533524352 is a wasteful number, since it uses less digits than its factorization.

25342533524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162152844 (or 162152832 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 25342533524352 in words is "twenty-five trillion, three hundred forty-two billion, five hundred thirty-three million, five hundred twenty-four thousand, three hundred fifty-two".